
아래 MME를 사용하여 PDF를 만들면 슬라이드가 이상하게 작동합니다. 각 줄이 표시되면 전체 슬라이드가 이동하여 위쪽 부분이 보이지 않게 됩니다. 무슨 일이 일어나고 있는지 잘 모르겠습니다. 나는 슬라이드가 너무 혼잡하다고 생각하지 않습니다. 훨씬 더 비어 있는 이후의 일부 슬라이드에서도 이런 일이 발생하기 때문입니다.
로그에 경고나 오류가 표시되지 않습니다.
도움을 주시면 감사하겠습니다.
편집: 이 문제는 슬라이드를 편집한 다음 프레젠테이션을 볼 때만 발생한다는 것을 알았습니다. Windows 탐색기에서 PDF를 열면 문제가 없습니다.
\documentclass {beamer} {
\mode<presentation> {
%\usetheme{Goettingen}
% or ...
\setbeamercovered{transparent}
% or whatever (possibly just delete it)
\usecolortheme{albatross}
\usecolortheme{sidebartab}
\useoutertheme{split}
}
\usepackage{natbib}
\usepackage[english]{babel}
% or whatever
\usepackage[latin1]{inputenc}
% or whatever
\usepackage{booktabs}
\usepackage{url}
\usepackage{times}
\usepackage[T1]{fontenc}
% Or whatever. Note that the encoding and the font should match. If T1
% does not look nice, try deleting the line with the fontenc.
\setbeamercolor{navigation symbols}{fg = white, bg = white}
\setbeamercolor{description item}{fg = red, bg = blue}
\AtBeginSection {
\begin{frame}<beamer>
\frametitle{Outline}
\tableofcontents[currentsection]
\end{frame}
}
\title[] % (optional, use only with long paper titles)
{Slowly Diverging Series }
\author{Peter L. Flom }
% - Use the \inst{?} command only if the authors have different
% affiliation.
\institute[] % (optional, but mostly needed)
{}
\date[May 2022] % (optional)
{Math for Math's Sake}
\subject{Talks}
% This is only inserted into the PDF information catalog. Can be left
% out.
% If you wish to uncover everything in a step-wise fashion, uncomment
% the following command:
\beamerdefaultoverlayspecification{<+->}
\setbeamertemplate{footline}[frame number]
\begin{document}
\begin{frame}
\titlepage
\end{frame}
\begin{frame}
\frametitle{Outline}
\tableofcontents[pausesections]
% You might wish to add the option [pausesections]
\end{frame}
\section{Introduction}
\begin{frame}
\frametitle{Introduction}
\begin{itemize}
\item Infinite series can either diverge, converge, or be indeterminate. Many divergent series diverge very quickly, or at a constant rate.
\item Some series diverge slowly. The most famous of these is surely the harmonic series:
$ \sum_{x=1}^{\infty} \frac{1}{x} = 1 + 1/2 + 1/3 + \dots$
\item After 1000 terms, it is only about 7.85.
\item But are there series that diverge even more slowly?
\item Indeed there are!
\end{itemize}
\end{frame}
\section{Proofs of divergence}
\begin{frame}
\frametitle{The elementary proof}
\begin{itemize}
\item 1 is equal to 1
\item 1/2 is equal to 1/2
\item 1/3 + 1/4 is greater than 1/2, because $1/4 + 1/4 = 1/2 \text{ and } 1/3 > 1/4$
\item 1/5 + 1/6 + 1/7 + 1/8 is greater than 1/2, because $1/8 + 1/8 + 1/8 + 1/8 = 1/2$ and the other fractions are all greater than 1/8.
\item and so on. We just need twice as many terms in each successive sum. But we have an infinite number of terms, to that is not a problem.
\end{itemize}
\end{frame}
\end{document}